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Popular Calculus >

integral from 0 to 2 of (x+y)

Solution

\int_{0}^{2} (x + y) d y

Solution

2 x + 2

Solution steps

\int_{0}^{2} x + y d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{2} x d y + \int_{0}^{2} y d y

\int_{0}^{2} x d y = 2 x

\int_{0}^{2} y d y = 2

= 2 x + 2

Popular Examples

tangent of 1/(sqrt(8x))

t an g e n t \frac{1}{8 x}

derivative of ln(sqrt(e^{-2x)+cos(x}))

\frac{d}{d x} (ln (e^{- 2 x} + cos (x)))

integral from 0 to 3 of (x/3+5)

\int_{0}^{3} (\frac{x}{3} + 5) d x

derivative of (5-x^2/(5+x^2))

\frac{d}{d x} (\frac{5 - x ^{2}}{5 + x ^{2}})

(\partial)/(\partial x)(1/6 x^3)

\frac{\partial}{\partial x} (\frac{1}{6} x^{3})

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (x+y) ?
The integral from 0 to 2 of (x+y) is 2x+2